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Finding the Third Proportional to 49,192.50 and 106,161

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Solution

The third proportional to 49,192.50 and 106,161 is: 229,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,192.50 : 106,161 = 106,161 : x
  2. Step 2: Convert to fraction form
    49,192.50/106,161 = 106,161/x
  3. Step 3: Cross multiply
    49,192.50x = 106,161 × 106,161
  4. Step 4: Simplify right side
    49,192.50x = 11,270,157,921
  5. Step 5: Solve for x
    x = 11,270,157,921/49,192.50
  6. Step 6: Final answer
    x = 229,103.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.